giúp e vs ạ, e cảm ơn
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Bài 1:
\(54\left(\dfrac{km}{h}\right)=15\left(\dfrac{m}{s}\right);9\left(\dfrac{m}{s}\right)=32,4\left(\dfrac{km}{h}\right)\)
Baì 2:
\(t'=s':v'=5:\left(5.3,6\right)=\dfrac{5}{18}h\)
\(\Rightarrow v_{tb}=\dfrac{s'+s''}{t'+t''}=\dfrac{5+3,8}{\dfrac{5}{18}+\left(\dfrac{15}{60}\right)}\simeq16,67\left(\dfrac{km}{h}\right)\)
Câu 2:
\(\Leftrightarrow\left(x+2\right)\left(10x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=-\dfrac{3}{10}\end{matrix}\right.\)
16. He told Min that he would meet her the following day / the next day.
17. Tom asked Linda if he could sit beside her.
18. He told his mom that he wanted a big cake for his birthday.
19. He told us not to turn the light on.
20. I asked him how long he was going to stay.
21. She wanted to know if Hoa was going by bike.
22. She asked us not to use too much hot water.
23. She invited me to come to her party.
Áp dụng bất đẳng thức Cosi ta có :
\(x^4+1\ge2x^2;x^2+1\ge\left|x\right|\Rightarrow x^4+3\ge4\left|x\right|\)
Tương tự : \(y^4+3\ge4\left|y\right|\)
\(\Rightarrow x^4+y^4+6\ge4\left(\left|x\right|+\left|y\right|\right)\left(1\right)\)
Từ (1) suy ra \(x^4+y^4+6\ge4\left(x-y\right)\Rightarrow P\le\dfrac{1}{4}\)
Dấu = xảy ra \(x=1;y=-1\)
Từ (1) suy ra \(x^4+y^4+6\ge4\left(y-x\right)\Rightarrow P\ge-\dfrac{1}{4}\)
Dấu = xảy ra \(x=-1;y=1\)
Bài 1.
a)Điện trở tương đương: \(R_m=R_1+R_2=12+8=20\Omega\)
b)\(I_A=I_1=I_2=\dfrac{U_{AB}}{R_m}=\dfrac{18}{20}=0,9A\)
c)\(U_1=I_1\cdot R_1=0,9\cdot12=10,8V\)
\(U_2=I_2\cdot R_2=0,9\cdot8=7,2V\)
d)\(R_Đ=\dfrac{U_Đ^2}{P_Đ}=\dfrac{12^2}{6}=6\Omega\)
\(\Rightarrow R_m=R_1+R_Đ=12+6=18\Omega\)
\(I_m=\dfrac{U}{R}=\dfrac{18}{18}=1A\)
\(I_{Đđm}=\dfrac{P_Đ}{U_Đ}=\dfrac{6}{12}=0,5A< I_m=1A\)
Vậy đèn sáng yếu hơn bình thường.
Bài 2:
a. \(R=\dfrac{R1.R2}{R1+R2}=\dfrac{20.30}{20+30}=12\Omega\)
\(U=U1=U2=IR=12.2=24V\left(R1\backslash\backslash\mathbb{R}2\right)\)
b. \(\left\{{}\begin{matrix}I1=U1:R1=24:20=1,2A\\I2=U2:R2=24:30=0,8A\end{matrix}\right.\)
c. \(I=I12=I3=0,5A\left(R12ntR3\right)\)
\(U3=U-U12=24-\left(0,5.12\right)=18V\)
d. \(P=UI'=24.0,5=12\)W
1 more difficult
2 warmer
3 the most intelligent
4 the hottest
5 cheaper than
6 luckiest
7 more comfortable than
8 the most boring
9 the luckiest
10 simper









Bài 1:
\((n+1)^n-1=n[(n+1)^{n-1}+(n+1)^{n-2}+....+(n+1)+1]\)
Giờ ta chỉ cần cmr \((n+1)^{n-1}+(n+1)^{n-2}+...+(n+1)+1\vdots n\)
Thật vậy:
\((n+1)^{n-1}+(n+2)^{n-2}+...+(n+1)+1\equiv 1^{n-1}+1^{n-2}+...+1^1+1=n\equiv 0\pmod n\)
Do đó ta có đpcm.
Bài 2 em xem lại. Số $2^{n(2^n-1)}$ chỉ toàn ước có dạng $2^k$ với $k=0,1,..., n(2^n-1)$ trong khi đó $(2^n-1)^2$ là số lẻ.